1/x=5/x-4

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Solution for 1/x=5/x-4 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

1/x = 5/x-4 // - 5/x-4

1/x-(5/x)+4 = 0

1/x-5*x^-1+4 = 0

-4*x^-1 = -4 // : -4

x^-1 = 1

-1 < 0

1/(x^1) = 1 // * x^1

1 = 1*x^1 // : 1

1 = x^1

x = 1

x = 1

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